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1344403456 = 2111183719
BaseRepresentation
bin101000000100001…
…1111100000000000
310110200201202211121
41100020133200000
510223131402311
6341223122024
745213145414
oct12010374000
93420652747
101344403456
1162a976240
123162a3314
131856b3c06
14ca79cd44
157d061b71
hex5021f800

1344403456 has 96 divisors (see below), whose sum is σ = 2971987200. Its totient is φ = 602890240.

The previous prime is 1344403447. The next prime is 1344403457. The reversal of 1344403456 is 6543044431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344403457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1869465 + ... + 1870183.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 21344403456 is an apocalyptic number.

1344403456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485993600).

1344403456 is an abundant number, since it is smaller than the sum of its proper divisors (1627583744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1344403456 is an equidigital number, since it uses as much as digits as its factorization.

1344403456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 1344403456 is about 36666.1077290732. The cubic root of 1344403456 is about 1103.6800865395.

Adding to 1344403456 its reverse (6543044431), we get a palindrome (7887447887).

The spelling of 1344403456 in words is "one billion, three hundred forty-four million, four hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 128 166 176 256 332 352 512 664 704 719 913 1024 1328 1408 1438 1826 2048 2656 2816 2876 3652 5312 5632 5752 7304 7909 10624 11264 11504 14608 15818 21248 22528 23008 29216 31636 42496 46016 58432 59677 63272 84992 92032 116864 119354 126544 169984 184064 233728 238708 253088 368128 467456 477416 506176 656447 736256 934912 954832 1012352 1312894 1472512 1869824 1909664 2024704 2625788 3819328 4049408 5251576 7638656 8098816 10503152 15277312 16197632 21006304 30554624 42012608 61109248 84025216 122218496 168050432 336100864 672201728 1344403456